CNNBC recently reported that the mean annual cost of auto insurance is 977 dollars. Assume the standard deviation is 252 dollars, and the cost is normally distributed. You take a simple random sample of 36 auto insurance policies. Round your answers to 4 decimal places. a. What is the distribution of X? X - N( b. What is the distribution of ? - N c. What is the probability that one randomly selected auto insurance is less than $1020? d. a simple random sample of 36 auto insurance policies, find the probability that the average cost is less than $1020. e. For part d), is the assumption of normal necessary? No Yes

Q: 21 2. 6.

A:

Q: dr (V+|)²

A:

Q: Find L{t?e-4t - e-2tsin (v2t)}

A:

Q: -2 Evaluate (5х — 2) dx -6

A:

Q: こ (0) of

A:

Q: Express e(1/2-6) in the form a + bj.

A:

Q: A = 1 1 0 0 1 -1

A: Note the following fact :

Q: Find yll if x²+4y²=7

A:

Q: .2 y = 4 - x² and x +y = 2.

A:

Q: 1 -1 A = -1 2 -1 0 -1 1

A: Answer is in next step

Q: =D5 -3x+4y%3D8

A: y=5 -3x+4y=8

Q: Perform the indicated operation. (303-j19) (j2-1)

A:

Q: d a² – 2x Find dx

A:

Q: Use the top row for your carries. 1 ✓ 1 1 1 ✓ 16x 1 1 8 x ох 1 x 1 0 1 2 X 1 X 01 01 1 1

A: IN Binary system  0+0=0 0+1=1 1+0=1 1+1=0 with carry 1 1×1=11×0=00×0=00×1=0

Q: A=x+1+z Find z

A: Transfer other things to the left hand side

Q: Vcot 3x csc* 3xdx

A: the given integral is: ∫cot3xcsc43x dx we have to evaluate the value of the given integral.